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1139149440 = 273351113461
BaseRepresentation
bin100001111100110…
…0000101010000000
32221101111210021000
41003321200222000
54313110240230
6305011532000
740141416252
oct10371405200
92841453230
101139149440
11535024920
122795ba000
1315200a330
14ab40dcd2
156a01ab60
hex43e60a80

1139149440 has 512 divisors, whose sum is σ = 4750099200. Its totient is φ = 254361600.

The previous prime is 1139149439. The next prime is 1139149457. The reversal of 1139149440 is 449419311.

It is a super-2 number, since 2×11391494402 = 2595322893304627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1139149395 and 1139149404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2470810 + ... + 2471270.

Almost surely, 21139149440 is an apocalyptic number.

1139149440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1139149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375049600).

1139149440 is an abundant number, since it is smaller than the sum of its proper divisors (3610949760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1139149440 is a wasteful number, since it uses less digits than its factorization.

1139149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1139149440 is about 33751.2879754240. The cubic root of 1139149440 is about 1044.3840574043.

The spelling of 1139149440 in words is "one billion, one hundred thirty-nine million, one hundred forty-nine thousand, four hundred forty".